<u>Answer</u>:
x = 20
<u>Explanation</u>:
all the interior angles in the triangle is 180°
<u>therefore</u>:
4x - 17° + 71° + 46° = 180°
4x + 100° = 180°
4x = 180° - 100°
4x = 80°
x = 20°
To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.
First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2
Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.
When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.
117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.
Hope this helps!
Answer:
Explanation:
All the other expressions can be factorized. Let's see why:
1) 
This is the sum of the cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
2) 
This is the difference between two cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
3) 
This is the difference between two square numbers, and it can be factorized as follows
In this case, a=m and b=1, so we can factorize as
Answer:
Step-by-step explanation:
f(x)/g(x)=(6x+2)/(x-7)
The only restriction upon the domain, possible values of x, is division by zero is undefined. So x cannot equal 7.
So the domain is all real numbers except 7. In interval notation the domain is
x=(-oo, 7),(7, +oo)
Answer:
94
Step-by-step explanation:
the general formula for the nth term of this arithmetic sequence is
a(n) = 12 + 2(n-1).
The 42nd term would then be a(42) = 12+ 2(42 - 1) = 12 + 82 = 94
